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Finding the Third Proportional to 284,985 and 444,729

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Solution

The third proportional to 284,985 and 444,729 is: 694,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,985 : 444,729 = 444,729 : x
  2. Step 2: Convert to fraction form
    284,985/444,729 = 444,729/x
  3. Step 3: Cross multiply
    284,985x = 444,729 × 444,729
  4. Step 4: Simplify right side
    284,985x = 197,783,883,441
  5. Step 5: Solve for x
    x = 197,783,883,441/284,985
  6. Step 6: Final answer
    x = 694,015.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.